Simplify $x^{2} + 6 x + 9$ using suitable identity.

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Solution

$x^{2} + 6 x + 9 = x^{2} + 2.3 x + 3^{2}$ is of the form

$= (x + 3)^{2}$ $(a + b)^{2} =$ $a^{2} + 2 a b + b^{2}$

$= (x + 3) (x + 3)$

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